Prime p₀= 2068644280091194301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Cruncher Pete
db: batch=80, k=10, 2 64 2 70 2

STPT(10)	2068642430786492381	0 2 6 8 18 20 30 32 36 38	-1849304701920
STPT(10)	2068642480484312111	0 2 30 32 120 122 210 212 240 242	-1799606882190
SPT(16)	2068643340854655871	0 42 60 118 126 150 180 186 202 208 238 262 270 328 346 388	-939236538430
SPT(16)	2068643667407143223	0 24 38 48 56 78 80 140 144 204 206 228 236 246 260 284	-612684051078
STPT(12)	2068644241086430037	0 2 42 44 84 86 90 92 132 134 174 176	-39004764264
SPT(16)	2068644259813380257	0 2 32 66 144 156 170 182 264 276 290 302 380 414 444 446	-20277814044
SPT(16)	2068644435783272519	0 8 12 14 30 42 50 84 188 222 230 242 258 260 264 272	155692078218
SPT(16)	2068644470421800339	0 8 14 18 48 80 84 110 132 158 162 194 224 228 234 242	190330606038
TPT(14)	2068644508865050757	0 2 12 14 60 62 90 92 114 116 144 146 240 242	228773856456
SPT(16)	2068644552289319189	0 8 42 54 72 92 122 150 152 180 210 230 248 260 294 302	272198124888
SPT(16)	2068645611860153693	0 8 48 56 66 78 80 126 188 234 236 248 258 266 306 314	1331768959392